Home
Class 12
MATHS
Evaluate the following : int(0)^(pi//2...

Evaluate the following :
`int_(0)^(pi//2)(sinx cos x)/((2sinx+1)(sin x+1))dx`.

Text Solution

Verified by Experts

`log((2)/(sqrt3))`.
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 14.2 PROPERTIES OF DEFINITE INTEGRALS|4 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : int_(0)^(pi//2)(sinx-cosx)/(1+sinx.cosx)dx

Evaluate the following : int_(0)^(pi//2)(sinx)/(sinx+cosx)dx

int_0^(pi//2)(sinx-cos x)/(1+sinx cos x) dx

Evaluate the following integral: int_0^(pi//2)2s in x\ cos xtan^(-1)(sinx)dx

Evaluate the following integral: int_0^(pi//2)1/(5cos x+3sinx)dx

int_(0)^(pi//2) (sinx )/(sin x + cos x ) dx=

Evaluate : int_(0)^(pi//2) (cosx)/((1+sin x)(2+sinx)) dx

Evaluate the following : int_(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.

int_(0)^((pi)/2)(sinx+cosx)/(sqrt(1+sin2x))dx=

int_(0)^(pi//2)(sinx)/((1+cos^(2)x))dx

NAVNEET PUBLICATION - MAHARASHTRA BOARD-DEFINITE INTEGRALS-Examples for Practice
  1. Evaluate the following : int(1)^(2)(x+3)/((x(x+2))dx

    Text Solution

    |

  2. Evaluate the following : int(0)^(pi//4)(sec^(2)x)/((1+tanx)(2+tanx))...

    Text Solution

    |

  3. Evaluate the following : int(0)^(pi//2)(sinx cos x)/((2sinx+1)(sin x...

    Text Solution

    |

  4. Evaluate the following : int(0)^(pi//4)e^(x)(1+tanx+tan^(2)x)dx

    Text Solution

    |

  5. Evaluate the following definite integral: int1^2e^(2x)(1/x-1/(2x^2))dx

    Text Solution

    |

  6. int(0)^(e^(2)){(1)/((logx))-(1)/((logx)^(2))}dx

    Text Solution

    |

  7. Evaluate the following : int(1)^(pi//2)[sin (logx)+cos(logx)]dx.

    Text Solution

    |

  8. Evaluate the following : int(0)^(pi//2)(sinx)/(sinx+cosx)dx

    Text Solution

    |

  9. Evaluate the following : int(0)^(pi//2)(sqrt(tanx))/(sqrt(tanx)+sqr...

    Text Solution

    |

  10. int(0)^(pi//2)(1)/((1+sqrt(cotx)))dx=?

    Text Solution

    |

  11. Evaluate the following : int(0)^(1)(dx)/(x+sqrt(1-x^(2))).

    Text Solution

    |

  12. Evaluate the following : int(0)^(a)(sqrtx)/(sqrtx+sqrt(a-x))dx

    Text Solution

    |

  13. Evaluate the following : int(0)^(a)(rootn(x+c))/(rootn(x+c)+rootn(a...

    Text Solution

    |

  14. Evaluate the following : int(0)^(a)x^(2)sqrt(1-x)dx

    Text Solution

    |

  15. Evaluate the following : int(0)^(1)x^(2)(1-x)^((5)/(2))dx.

    Text Solution

    |

  16. Evaluate the following integral: int0^oo(logx)/(1+x^2)dx

    Text Solution

    |

  17. Evaluate the following : int(0)^(pi//2)sin 2x.log (tanx)dx.

    Text Solution

    |

  18. Evaluate the following : int(0)^(pi)(x tan x)/(secx+cos x)dx

    Text Solution

    |

  19. Evaluate the following : int(0)^(pi)(x tanx)/(secx "cosec x")dx

    Text Solution

    |

  20. Evaluate the following : int(0)^(pi)x sin^(3)x dx

    Text Solution

    |